Atkin-Lehner |
2+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18040b |
Isogeny class |
Conductor |
18040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6508832000 = 28 · 53 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,-2480] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:44:1] |
Generators of the group modulo torsion |
j |
59466754384/25425125 |
j-invariant |
L |
2.7494406846956 |
L(r)(E,1)/r! |
Ω |
1.0409009733832 |
Real period |
R |
1.3207023314423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36080c2 90200m2 |
Quadratic twists by: -4 5 |